Prime p₀= 2637512181656576069 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2637511775995149401	0 20 38 80 102 152 188 200 210 222 258 308 330 372 390 410	-405661426668
STPT(10)	2637511799773905809	0 2 18 20 30 32 42 44 60 62	-381882670260
STPT(10)	2637511929675581039	0 2 12 14 90 92 168 170 180 182	-251980995030
TPT(14)	2637511937134978469	0 2 42 44 150 152 168 170 192 194 210 212 282 284	-244521597600
SPT(13)	2637512024060032291	0 12 18 72 78 102 120 138 162 168 222 228 240	-157596543778
STPT(10)	2637512152333359209	0 2 18 20 30 32 42 44 60 62	-29323216860
STPT(10)	2637512793024891317	0 2 30 32 42 44 54 56 84 86	611368315248
SPT(16)	2637513070113721273	0 6 64 94 96 130 180 210 214 244 294 328 330 360 418 424	888457145204
TPT(14)	2637513196163479409	0 2 12 14 18 20 72 74 150 152 312 314 360 362	1014506903340
TPT(14)	2637513237116867231	0 2 36 38 48 50 90 92 108 110 150 152 456 458	1055460291162
SPT(16)	2637513330573693529	0 42 52 118 144 202 214 270 292 348 360 418 444 510 520 562	1148917117460